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Finding the Fourth Proportional to 65,115.22, 97,671.81 and 20,741.61

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Solution

The fourth proportional to 65,115.22, 97,671.81 and 20,741.61 is: 31,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115.22 : 97,671.81 = 20,741.61 : x
  2. Step 2: Convert to fraction form
    65,115.22/97,671.81 = 20,741.61/x
  3. Step 3: Cross multiply
    65,115.22x = 97,671.81 × 20,741.61
  4. Step 4: Simplify right side
    65,115.22x = 2,025,870,591.01
  5. Step 5: Solve for x
    x = 2,025,870,591.01/65,115.22
  6. Step 6: Final answer
    x = 31,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.